6 results for tags
root-finding x
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Complex floats and some big root-finding speedups
The statement "I've found that Aberth performs worse [than Weierstrass-Durand-Kerner] on most examples as its faster convergence is offset by the slower evaluation." is interesting.Mon Oct 28 12:17:41 2024 - permalink -
Fredrik Johansson is the author of https://mpmath.org/, https://arblib.org/ and https://flintlib.org/ arbitrary-precision libraries and of the Mathematical Functions Grimoire https://fungrim.org/- https://fredrikj.net/blog/2024/06/complex-floats-and-some-big-root-finding-speedups/
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Lin-Bairstow polynomial roots finder algorithm for DM42
Includes a link to https://technical.swissmicros.com/doc/pdf/Bairstow.pdfMon Jul 8 00:09:21 2024 - permalink -- https://www.hpmuseum.org/forum/thread-21984.html
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free42 Random Math Stuff
Polynomial root finder for {dm,hp}42s using Laguerre's method. Found on https://forum.swissmicros.com/viewtopic.php?p=20091#p20091Mon Jun 13 15:52:20 2022 - permalink -
The Emacs tools for {dm,hp}42 code on https://richmit.github.io/hp42/hp42s-meta.html and the
Lisp library http://www.mitchr.me/SS/mjrcalc/ look interesting too.- https://richmit.github.io/hp42/math.html#org670c9bb
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Polynomial Rootfinder repost
The HP 48 object listed below in ->ASC form is a high-performance polynomial root finder. Those of you who remember the HP 71B Math Pac will recognize this as the same as the PROOT command from that Pac; it is in fact the same assembly-language code, given an RPL front end to operate in the HP 48.Sat May 28 19:20:00 2022 - permalink -
Found on https://www.hpmuseum.org/forum/thread-10967-post-160700.html#pid160700
See also http://www.jeffcalc.hp41.eu/emu71/mathrom.html#src for the uncommented source code of PROOT and other functions of the HP71B math pack.- https://groups.google.com/g/comp.sys.hp48/c/JD9LSLeIYyE?hl=en&pli=1#f5b79053a9650902
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Numercial Analysis & Applications
Windows applications or source code for various numerical algorithms, with emphasis on polynomial root finding. Some algorithms can be used via a web interface.Thu Dec 22 23:40:57 2011 - permalink -- http://www.hvks.com/index.html
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ACM Collected Algorithms (toms)
Includes a Jenkins-Traub polynomial root finder.Thu Jul 8 13:26:04 2010 - permalink -- http://www.netlib.org/toms/